Three-dimensional display of phase space diagrams

Phase plane analysis of linear and nonlinear systems has been widely in recent years. These graphical displays give considerable insight into system response. A serious short coming of this procedure is the limitation to two dimensions. A third-order system must be studied on two, two-dimensional graphs or represented by a second-order mathematical approximation for the third-order system. For nonlinear systems employing relays, saturation, etc., the approximations must be made with care. In an effort to reduce discrepancies and improve the visualization of system response, this paper presents a method to obtain three-dimensional displays of system graphs. Third-order phase graphs of nonlinear and linear systems can be graphed directly without approximations. A discussion of the principles involved will be presented first. Then, analog and digital programs will be given. Finally, example problems will be discussed.

Name thesis:degree_name

Master of Science

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Electrical Engineering

Department dc:contributor.department

Electrical Engineering

Grantor dc:publisher

Virginia Polytechnic Institute

Year dc:date.issued

1968

Author dc:creator

• English, Donald L.

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

en_US

Handle dc:identifier.uri

http://hdl.handle.net/10919/71209

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/71209